What The $K_{E4}$ Decay Tells Us On A Value Of $\Sigma$-Particle Mass And On A Nature Of The Spin-1 Mesons

Abstract

The data on the form factors of the $K_{e4}$ decay permit to fix a value of the non-specified in the theory parameter entering in the lagrangian of the system of $0^{+}$ and $0^{-}$ mesons . Then, for a mass of the lightest $\sigma$-meson we find: $m_{\sigma }$=663 MeV. As for a nature of the spin-1 mesons, also contributing into $K_{e4}$ form factors, the data do not allow to interpret them as the gauge bosons of the chiral theory.

Comments: 15 pages, v2: misprints corrected, v3: new discussion of axial vector meson added